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Zorluk: KolayWedges

A worker uses a steel wedge to split a large block of ice. If the worker switches to a longer wedge that has the exact same maximum thickness, which of the following statements correctly describes the result?

  1. It decreases the effort force required to split the ice.Cevap
  2. B
    It decreases the total amount of work required to split the ice.
  3. C
    It increases the total frictional force resisting the wedge due to the larger surface area.
  4. D
    It requires a greater effort force because the wedge must be driven a longer distance.

Cevap

It decreases the effort force required to split the ice.
The ideal mechanical advantage of a wedge is its length divided by its thickness. By increasing the length while keeping the thickness the same, the mechanical advantage increases, which reduces the effort force needed to do the job.

Adım Adım Çözüm

1
Recall the formula for the ideal mechanical advantage (IMA) of a wedge.
IMA = Length / Thickness
This relationship determines how much a wedge multiplies the applied force.
2
Analyze the change in the wedge's dimensions described in the scenario.
The length increases, while the thickness remains exactly the same.
Understanding the variables helps determine the new mechanical advantage.
3
Determine the effect on the effort force.
Since the numerator (length) is larger and the denominator (thickness) is constant, the IMA increases. A higher IMA means less effort force is needed.
An increased mechanical advantage trades a longer distance for a reduced effort force requirement.

Anahtar Kavram

Mechanical Advantage of Wedges
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Konular

Wedges

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